M. Kwiecinski, Formule du produit pour les classes caract'eristiques de Chern-SchwartzMacPherson et homologie d'intersection, C. R. Acad. Sci. Paris 314 (1992), 625-628. Home/Search Document Not in Database Summary Related Articles Check |
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Bivariant Theories of Constructible Functions and Grothendieck.. - Yokura (2000) (Correct)
.... Y pr 2 Y pr 1 y y X pt: Here we observe that for a constructible function 2 F (Y ) pr 1 pr 2 = BIVARIANT THEORIES OF CONSTRUCTIBLE FUNCTIONS 13 i.e. x; y) x) y) By Kwieci nski s cross product formula for the ChernSchwartz MacPherson class [K1] (cf. KY] and also, see Appendix below) for any constructible functions 2 F (X) and 2 F (Y ) we have c ( c ( c ( where on the right hand side is the homology cross product. Therefore for any constructible function 2 F (X) we get the following commutative diagram F (Y ....
.... any constructible functions 2 F (X) 2 F (Y ) we have c ( c ( c ( In [KY] Kwieci nski and the present author showed the cross product formula of the the twisted Chern Schwartz MacPherson class which extends the Kwieci nski s cross product formula, in the same way as in [K1]. So, we discuss a bit on the possible existence of a bivariant version of the twisted Chern Schwartz MacPherson class. Firs we recall the twisted version from [Y1] For the sake of simplicity we use the notation F t (X) F (X) Z[t] and H ( Z) t] H ( Z) Z[t] 20 SHOJI ....
M. Kwiecinski, Formule du produit pour les classes caract'eristiques de Chern-SchwartzMacPherson et homologie d'intersection, C. R. Acad. Sci. Paris 314 (1992), 625-628.
Bivariant Chern-Schwartz-MacPherson Classes with Values in.. - Ernström, Yokura (2000) (Correct)
....transformation commutes with products, this is equal to ( h ( id p ) p] which, by de ning 2 F (X Y p) by ( x; y) x) y) for x 2 X; y 2 Y , becomes ( id p ) p] This is, again by (3. 3) equal to c ( Finally, by Kwieci nski s theorem [Kw1] (cf. KY] this is equal to c ( c ( Finally we pose the following problem, which we have been unable to solve. Problem 3.10. In the above theorem can one replace the operational bivariant Chow theory A PI by the operational bivariant theory A PIF = A Namely, is ( ....
M. Kwiecinski, Formule du produit pour les classes caract'eristiques de Chern-Schwartz-MacPherson et homologie d'intersection, C. R. Acad. Sci. Paris 314 (1992), 625-628.
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